4488824265312 has 288 divisors, whose sum is σ = 12609708338304. Its totient is φ = 1397190574080.

The previous prime is 4488824265287. The next prime is 4488824265313. The reversal of 4488824265312 is 2135624288844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4488824265313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329254848 + ... + 329268480.

It is an arithmetic number, because the mean of its divisors is an integer number (43783709508).

Almost surely, 2^{4488824265312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4488824265312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304854169152).

4488824265312 is an abundant number, since it is smaller than the sum of its proper divisors (8120884072992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4488824265312 is a wasteful number, since it uses less digits than its factorization.

4488824265312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13834 (or 13795 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 57.

The spelling of 4488824265312 in words is "four trillion, four hundred eighty-eight billion, eight hundred twenty-four million, two hundred sixty-five thousand, three hundred twelve".